An incoming college student took her college’s placement exams in French and mathematics. In French, she scored 85 and in math 80. The overall results for both exams are approximately normal. The French mean score was 72 with a standard deviation of 12, while the mean math score was 70, with a standard deviation of 7.8. On which exam did she do better compare with the other incoming college students? Compute the z-scores (round to 2 decimal places) and the percentiles (round to the nearest whole) for each exam to support your answer.

Answers

Answer 1

Answer:

Following are the responses to the given question:

Step-by-step explanation:

[tex]French \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Mathematics\\\\X= 85\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ X= 80\\\\\mu=72\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \mu =70\\\\\sigma=12 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \sigma= 7.8\\\\[/tex]

Formula:

[tex]\bold{Z-Score=\frac{x-\mu}{\sigma}}\\\\French \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Mathematics\\\\Z=\frac{85-72}{12} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Z=\frac{80-70}{7.8}\\\\=1.0833 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ =1.2820\\\\[/tex]

In the french exam Z value is 1.0833 and in the maths exam Z value is 1.2820 that's why we can say that  in maths exam, she does better than french exam.


Related Questions

Which expression is equivalent to (-3)x+(3)(-12)?

Answers

Answer:

Step-by-step explanation:

(-3)x + (3)(-12)

= -3x -36

or -3(x + 12)

Answer:

Step-by-step explanation:

(-3)x + 3(-12) = (-3) (x + 12)

(-3) is both the two terms. So we can take (-3) as common

The sales tax on a $500 purse is 7%. What is the total cost of the purse?

Answers

Answer:

$535

Step-by-step explanation:

First step is figure out what's 7% of 500, and then you can add the numbers together. To make it simpler, you can multiple 500 by 1.07, which would include the sales tax and the 500 altogether to get the answer.

The product of two numbers is 342. If one number is 18, what is the other nnumber without the use of a calculator show all your steps

Answers

342/18 18 x 10= 180 342 - 180= 162 18 x 9= 90 + 72= 162 10+9= 19 The answer is 19

using the equation y=x , what would be the value of y if the value of x is 2

Answers

Answer:

y = 2

Step-by-step explanation:

y = x

x = 2

Plug in the given value.

y = (2)

This is already simplified.

Therefore, when x = 2, y = 2.

Hope this helps!

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Answers

Answer:

Infinitely many solutions

Step-by-step explanation:

7x - 11 = 5(x - 2) + 2x - 1

7x - 11 = 10x - 10 + 2x - 1

7x - 11 = 7x - 11

No matter what number you plugin, it will always be equal.

1) 7x-11 = 5(x-2)+2x-1

2) 7x-11=5x-10+2x-1

3)7x-11=7x-11

4)0=0

5)Would cancel each other out.

6) So I guess no solutions?

3 apples cost $1.00. How many apples for $2.00

Answers

Answer:

6 apples

Step-by-step explanation:

3 apples cost $1.00

so for $2.00, 2x3÷1=6

hope it helps. plz mark me as brainliest.

Answer:

6 apples

Step-by-step explanation:

if three apples are 1 dollar then every time you add a dollar you would get three more apples

so it would look somthing like

1$ = 3 apples

2$= 6 apples

3$= 9 apples  

4$= 12 apples

so on

Which of the following equations is represented by a line passing through (-9, 7) and (3, 3) in the
standard (x, y) coordinate plane?

Answers

Answer:

y = -1/3x + 4

Step-by-step explanation:

(-9, 7) and (3, 3)

Slope:

m=(y2-y1)/(x2-x1)

m=(3-7)/(3+9)

m=(-4)/12

m= -1/3

Slope-intercept:

y - y1 = m(x - x1)

y - 7 = -1/3(x + 9)

y - 7 = -1/3x - 3

y = -1/3x + 4

Step-by-step explanation:

[tex]soln \\ \frac{3 - 7 }{3 - - 9} \\ = \frac{ - 4}{ - 12} \\ = \frac{1}{3 } \\ \frac{y - 7}{x - 3} = \frac{1}{3} \\ then \: you \: cross \: multiplication. \\ 3(y - 7) = 1(x - 3) \\ 3y - 7 = x - 3 \\ 3y = x - 3 + 7 \\ 3y = x + 4 \\ \frac{3y}{3} = \frac{x}{3} + \frac{4}{3} \\ y = \frac{x}{3} + \frac{4}{3} [/tex]

A pool manager balances the pH level of a pool. The price of a bucket of chlorine tablets is $90, and the price of a pH test kit is $11. The manager uses a coupon that applies a 40% discount to the total cost of the two items. How much money does the pool manager pay for each item?

Answers

Answer:

The chlorine tablets are $36 and the pH test kit is $4.40.

Step-by-step explanation:

So what I first did was add 90+11 (because $90 for the chlorine tablets and $11 for the pH kit). The answer you should get is 101.  From their I did 101 multiplied by 40% or 101 multiplied by .40 (40% and 0.40 are the same thing). You now get $40.4.  

Now I did 90·40%. I got $36

Then I did 11·40%. I got 4.4

I added them up and got $40.4 which was my new price so now we know that the chlorine tablets are $36 and the pH test kit is $4.40.

True or False: When conducting a survey of a group of people, you must interview every person in that population A Truc B False​

Answers

A. its true.........

a business woman bought a personal computer for $108000.calculate her selling price on the personal computer if she wants to make profit of 25%​

Answers

Answer:

$135,000

Step-by-step explanation:

108000*1.25

(50 POINTS) Write out each sum.

Answers

Step-by-step explanation:

12. n^2+2n

if you insert 1 for k and then work up by inserting 2 for k and adding those together and stoping at n.

13. 8-2(2^n)

if you insert 3 for k and then work up by inserting 4 for k and adding those together and keep on going but stopping at n.

Hope that helps :)

Which value below represents the solution to 64 = 4u

Answers

Answer:

You didnt write the options

Answer:

u=16

Step-by-step explanation:

64=4u

divide both sides by 4

16=u

How to write 0.00080 as a power of 10?

Answers

Answer:

8 × 10⁻⁴

Step-by-step explanation:

(200 x 3) + (50 x 3)

Answers

200x3=600

50x3=150

600+150=750

750

Does anyone know a vb knowledge matters admin login?
I'm trying to complete the Sports & Entertainment Mogul

Answers

Answer:

Sadly no but also brainly isn't for this

Step-by-step explanation:

(Ima get so much hate rn from y'all)

A just answer pls I gotta write random words bc the question is a pic

Answers

Answer:

$84

Step-by-step explanation:

A. y=-2x+6
B. y=2x +6
C. y= -1/2x +6
D. y=1/2x+6

Answers

Answer:

A. y=-2x+6

Step-by-step explanation:

"You go shopping and notice that 25 kg of PEI’s Famous Potatoes cost $12.95, and 10 kg of Idaho’s Potatoes cost $5.78.

Which is the better deal?

Justify your answer."

Answers

Answer:

PEI famous potato is a better deal

Step-by-step explanation:

Given that :

PEI potato :

25kg costs $12.95

Price per kg :

$12.95 / 25 = $0.518 per kg

IDAHO Potato :

10kg costs $5.78

Price per kg:

$5.78 / 10

= $0.578 per kg

0.518 < 0.578

Hence, PEI famous potato is a better deal

I need help with this

Answers

Answer:

4/5 to 80%

7/20 to 35%

9/4 to 225%

25/1000 to 2.5%

Step-by-step explanation:

What is the simple interest on $4,000 for 2 and a half years at 4 percent a year?

Answers

Answer:

Step-by-step explanation:

You can't receive money if you withdraw in the midst of a year.

So 4000 * 1/25 * 2 = $4320

in which situation would hydrogen bonding be present?
A. When hydrogen exists as an ion in solution
B. When hydrogen is attached to C, S or P
C. When hydrogen atoms bond together to form H2
D. When hydrogen is attached to N, F or O​

Answers

Answer:

D

Step-by-step explanation:

lol this is a weird math question

jk

Hydrogen bonds occur only when hydrogen is covalently bonded to one of three elements: fluorine, oxygen, or nitrogen. Anything else isn't considered a hydrogen bond.

Alex is a faster runner than Carlos. The chart below relates how many laps around the track each runs in the same amount of time.

Number of Laps Run
Alex Carlos
4 3
8 6
12 9
How many laps will Alex have run in the time it take Carlos to run 12 laps?

Answers

Answer:

16

Step-by-step explanation:

Alex will run 16 laps in the time it take for Carlos to run 12 laps.

What is Multiplication?

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

Given are the values related to the number of laps run by Alex and Carlos.

The number of laps run by Alex is forming the multiples of 4 or 4x.

Number of laps run by Carlos is forming the multiples of 3 or 3x.

When x = 1,

Alex : 4 × 1 = 4

Carlos : 3 × 1 = 3

When x = 2,

Alex : 4 × 2 = 8

Carlos : 3 × 2 = 6

When x = 3,

Alex : 4 × 3 = 12

Carlos : 3 × 3 = 9

When x = 4,

Alex : 4 × 4 = 16

Carlos : 3 × 4 = 12

Hence Alex ran 16 laps in the same time for which Carlos ran 12 laps.

Learn more about Multiplication here :

https://brainly.com/question/5992872

#SPJ2

HELPPPPPPPPP
What is the value of x in the figure at the right?

Answers

Answer:

x=30

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

60=2x

/2   /2

30=x

PR and os are diameters of circle T. What is the

measure of SR?

50°

* 80°

• 100°

120

Answers

Answer:

100degrees

Step-by-step explanation:

Find the diagram attached

From the diagram

<PQT =<TRS = 40

Since the triangle STR is isosceles, here,

<TSR =<TRS = 40

Also the sum of angle in a triangle is 189, hence:

Arc SR+<TSR +<TRS = 18₩

ArcSR +40+40=180

ArcSR +80=180

ArcSR = 180-80

ArcSR = 100degrees

Hence the measure of SR is 100degrees

The measure of arc SR is 100°. The correct option is the third option - 100°

Calculating the measure of an Arc

From the question, we are to determine the measure of arc SR.

The measure of arc SR = <STR

Now, we will determine the measure of <STR

In the diagram, T is the center of the circle.

TP and TQ are radii.

Then, we can conclude that ΔPQT is an isosceles triangle.

Recall: Base angles of an isosceles triangle are equal.

∴ <PQT = <TPQ = 40°

Now, consider ΔPQT

<QTP + <TPQ + <PQT = 180° (Sum of angles in a triangle)

<QTP + 40° + 40° = 180°

<QTP + 80° = 180°

<QTP = 180° - 80°

<QTP = 100°

Also, in the diagram, <QTP and <STR are vertically opposite angles

NOTE: Vertically opposite angles are equal

That is, <QTP = <STR

∴ <STR = 100°

Hence, the measure of arc SR is 100°. The correct option is the third option 100°

Learn more on Calculating the measure of an arc here: https://brainly.com/question/3506007

Here is the complete and correct question:

Line PR and Line QS are diameters of circle T. What is the measure of Arc SR?

50°

80°

100°

120°

Please find the attached image

What is the solution to this system

Answers

Answer:

the solution to the system is (1,3)

Step-by-step explanation:

x = 1 , y = 3

One customer purchases 8 bags of cat food and 2 bags of dog food. The total weight of the purchase is 44 pounds. Another customer purchases 5 bags of cat food and 2 bags of dog food. The total weight of the purchase is 35 pounds.

A. You write the following system of linear equations to represent this
situation. Is your answer correct?
8x + 2y = 44
5x + 2y = 35

B. Your answer for the next step is 13 79, x = which is incorrect. Explain
the error.

Answers

Answer:

answer is x=3 and y=10

Step-by-step explanation:

Forgot to isolate y and x and simplify

Describe what you normally do on Sunday​

Answers

Nothing just lay in bed all day on my phone-

my normal routine except i go to church

On a test that has a normal distribution, a score of 32 falls three standard
deviations below the mean, and a score of 82 falls two standard deviations
above the mean. Determine the mean of this test.

Answers

Answer:

Mean = 62

Step-by-step explanation:

X = mean ± sd

82 = mean + 2(s.d) - - (1)

32 = mean - 3sd ___(2)

82 = mean + 2sd

82 - 32= 2sd + 3sd

50 = 5sd

sd = 50/5

sd = 10

From (2):

32 = mean - 3sd

32 = mean - 3(10)

32 = mean - 30

32 + 30 = mean

62 = mean

Calculate the distance between the points K = (1, -1) and P=(9.-6) in the coordinate plane.
Give an exact answer (not a decimal approximation)

Answers

Answer:

√89

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√(9 - 1)² + [-6 - (-1)]²

√(8)² + (-5)²

√64 + 25

√89

Find b given that A (-6, 2), B (b, 0), and C (3,-4) are collinear.

Answers

Answer:

b = -3.

Step-by-step explanation:

If the 3 points are collinear then:

Slope of AB = Slope  of BC and so

(0-2)/(b + 6) = (-4-0)/( 3 - b)

-4(b + 6) = -2(3 - b)

-4b - 24 = -6 + 2b

-24 + 6 = 2b + 4b

6b = -18

b = -3.

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